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类星型网络中脉冲诱导的局部混沌控制。

Impulse-induced localized control of chaos in starlike networks.

机构信息

Departamento de Física Aplicada, E.I.I., Universidad de Extremadura, Apartado Postal 382, E-06006 Badajoz, Spain.

Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, E-06006 Badajoz, Spain.

出版信息

Phys Rev E. 2016 Jun;93(6):062210. doi: 10.1103/PhysRevE.93.062210. Epub 2016 Jun 10.

DOI:10.1103/PhysRevE.93.062210
PMID:27415258
Abstract

Locally decreasing the impulse transmitted by periodic pulses is shown to be a reliable method of taming chaos in starlike networks of dissipative nonlinear oscillators, leading to both synchronous periodic states and equilibria (oscillation death). Specifically, the paradigmatic model of damped kicked rotators is studied in which it is assumed that when the rotators are driven synchronously, i.e., all driving pulses transmit the same impulse, the networks display chaotic dynamics. It is found that the taming effect of decreasing the impulse transmitted by the pulses acting on particular nodes strongly depends on their number and degree of connectivity. A theoretical analysis is given explaining the basic physical mechanism as well as the main features of the chaos-control scenario.

摘要

局部减少周期性脉冲传递的脉冲被证明是驯服星型耗散非线性振荡器网络中的混沌的可靠方法,导致同步周期状态和平衡点(振荡死亡)。具体来说,研究了阻尼踢转器的范例模型,其中假设当转动物体同步驱动时,即所有驱动脉冲传递相同的脉冲时,网络显示混沌动力学。发现,通过减少作用于特定节点的脉冲传递的脉冲的驯服效果强烈取决于它们的数量和连接度。给出了理论分析,解释了基本物理机制以及混沌控制场景的主要特征。

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